Question

a calculator was used to perform a linear regression on the values in the table. the results are shown to the right of the table. what is the line of best fit? a. ( y = -3.6x + 12.8 ) b. ( -0.998 = -3.6x + 12.8 ) c. ( y = 12.8x - 3.6 ) d. ( y = -0.998x + 12.8 )

Explanation:

Step1: Recall linear regression equation form

The linear regression equation is \(y = ax + b\), where \(a\) is the slope and \(b\) is the y - intercept.

Step2: Identify values of \(a\) and \(b\)

From the LinReg results, \(a=-3.6\) and \(b = 12.8\).

Step3: Substitute \(a\) and \(b\) into the equation

Substituting \(a=-3.6\) and \(b = 12.8\) into \(y=ax + b\), we get \(y=-3.6x + 12.8\).

Answer:

A. \(y=-3.6x + 12.8\)